标题： 洛伦兹不变性破缺的实验方面 显示英文标题

标题： Experimental Aspects of Lorentz Invariance Violation

摘要： 洛伦兹不变性是现代物理学的基石，但其可能的违反仍然在理论上引人入胜且在实验上意义重大。在这项工作中，以量子电动力学为例，我们探讨了如何将洛伦兹不变性违反引入理论的特定部分，并通过圈修正在整个理论中传播，从而修改其他粒子的传播和色散关系。自能图和真空极化图揭示了LIV效应如何跨区域传递，影响粒子的动力学。由于这些圈效应，来自宇宙射线观测和其他基于地球的实验的约束对诱导的LIV参数施加了限制，否则这些参数将受到较少的约束。我们展示了虽然基于相互作用的LIV效应需要不切实际的大参数才能被探测到，但色散关系的修改可以在LHC处探查到$\delta \sim 10^{-8} \text{ to } 10^{-9}$。这表明基于加速器的共振研究为严格的LIV约束提供了有前景的途径，可能与天体物理观测相媲美。 显示英文摘要

摘要： Lorentz invariance is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz invariance violation, introduced into a specific sector of the theory, spreads through loop corrections, modifying the propagation and dispersion relations of other particles. Self-energy and vacuum polarization graphs reveal how LIV effects transfer across sectors, influencing particle kinematics. Due to these loop effects, constraints from cosmic-ray observations and other Earth-based experiments impose limits on induced LIV parameters that would otherwise be less constrained. We show that while interaction-based LIV effects require unrealistically large parameters for detection, modifications to dispersion relations can be probed down to $\delta \sim 10^{-8} \text{ to } 10^{-9}$ at the LHC. This suggests that accelerator-based resonance studies provide a promising avenue for stringent LIV constraints, potentially rivaling astrophysical observations.